Extensions 1→N→G→Q→1 with N=Dic₅ and Q=D₁₂

Direct product G=N×Q with N=Dic₅ and Q=D₁₂

		d	ρ	Label	ID
Dic₅×D₁₂		240		Dic5xD12	480,491

Semidirect products G=N:Q with N=Dic₅ and Q=D₁₂

extension	φ:Q→Out N	d	Label	ID
Dic₅⋊₁D₁₂ = C₂₀⋊D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	240	Dic5:1D12	480,527
Dic₅⋊₂D₁₂ = Dic₅⋊D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240	Dic5:2D12	480,492
Dic₅⋊₃D₁₂ = D₃₀⋊D₄	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240	Dic5:3D12	480,496
Dic₅⋊₄D₁₂ = Dic₅⋊₄D₁₂	φ: trivial image	240	Dic5:4D12	480,481
Dic₅⋊₅D₁₂ = D₆₀⋊₁₇C₄	φ: trivial image	240	Dic5:5D12	480,494

Non-split extensions G=N.Q with N=Dic₅ and Q=D₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁D₁₂ = D₆₀⋊C₄	φ: D₁₂/C₆ → C₂² ⊆ Out Dic₅	120	8+	Dic5.1D12	480,227
Dic₅.₂D₁₂ = Dic₆⋊F₅	φ: D₁₂/C₆ → C₂² ⊆ Out Dic₅	120	8-	Dic5.2D12	480,229
Dic₅.₃D₁₂ = Dic₅.D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Out Dic₅	120	8+	Dic5.3D12	480,250
Dic₅.₄D₁₂ = Dic₅.₄D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Out Dic₅	240	8-	Dic5.4D12	480,251
Dic₅.₅D₁₂ = D₅×C₂₄⋊C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	120	4	Dic5.5D12	480,323
Dic₅.₆D₁₂ = D₅×D₂₄	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	120	4+	Dic5.6D12	480,324
Dic₅.₇D₁₂ = D₅×Dic₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	240	4-	Dic5.7D12	480,335
Dic₅.₈D₁₂ = Dic₅.₈D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	240		Dic5.8D12	480,426
Dic₅.₉D₁₂ = C₆₀⋊Q₈	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.9D12	480,544
Dic₅.₁₀D₁₂ = C₄₀.Dic₃	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	240	4	Dic5.10D12	480,300
Dic₅.₁₁D₁₂ = C₂₄.₁F₅	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	240	4	Dic5.11D12	480,301
Dic₅.₁₂D₁₂ = C₆₀⋊C₈	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.12D12	480,306
Dic₅.₁₃D₁₂ = Dic₅.₁₃D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.13D12	480,309
Dic₅.₁₄D₁₂ = C₂₄⋊D₁₀	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	120	4+	Dic5.14D12	480,325
Dic₅.₁₅D₁₂ = D₂₄⋊D₅	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	120	4	Dic5.15D12	480,326
Dic₅.₁₆D₁₂ = Dic₆₀⋊C₂	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240	4-	Dic5.16D12	480,336
Dic₅.₁₇D₁₂ = C₂₄.₂D₁₀	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240	4	Dic5.17D12	480,337
Dic₅.₁₈D₁₂ = D₆⋊₂Dic₁₀	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240		Dic5.18D12	480,493
Dic₅.₁₉D₁₂ = D₃₀⋊₂Q₈	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240		Dic5.19D12	480,495
Dic₅.₂₀D₁₂ = D₁₂⋊₂F₅	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	120	8-	Dic5.20D12	480,232
Dic₅.₂₁D₁₂ = D₆₀⋊₅C₄	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	120	8+	Dic5.21D12	480,234
Dic₅.₂₂D₁₂ = Dic₅.₂₂D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240		Dic5.22D12	480,246
Dic₅.₂₃D₁₂ = D₃₀⋊C₈	φ: D₁₂/D₆ → C₂ ⊆ Out Dic₅	240		Dic5.23D12	480,247
Dic₅.₂₄D₁₂ = C₄₀.₃₁D₆	φ: trivial image	240	4	Dic5.24D12	480,345
Dic₅.₂₅D₁₂ = D₂₄⋊₇D₅	φ: trivial image	240	4-	Dic5.25D12	480,346
Dic₅.₂₆D₁₂ = D₁₂₀⋊C₂	φ: trivial image	240	4+	Dic5.26D12	480,347

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Extensions 1→N→G→Q→1 with N=Dic5 and Q=D12

Extensions 1→N→G→Q→1 with N=Dic₅ and Q=D₁₂